Retrieving "Conjunction" from the archives

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1. Associativity

   Linked via "conjunction"

   Associativity in Logic and Computation
   In formal logic, associativity applies to connectives such as conjunction ($\land$) and disjunction. For propositional variables $P, Q, R$:
   $$ (P \land Q) \land R \iff P \land (Q \land R) $$
   This structural similarity allows computational languages to omit parentheses when parsing long sequences of logical AND or OR operations, provided no ambiguity with higher-precedence operators exists.

2. Lunar Phase

   Linked via "Conjunction"

   | Phase Name | Approximate Illumination (%) | Angular Separation (Sun-Moon, degrees) | Terrestrial Effect Index ($\mathcal{T}_{EI}$) |
   | :--- | :--- | :--- | :--- |
   | New Moon | 0% | $0^{\circ}$ (Conjunction) | $1.00$ |
   | Waxing Crescent | $1\% - 49\%$ | $1^{\circ} - 89^{\circ}$ | $0.45$ |
   | First Quarter | $50\%$ | $90^{\circ}$ (Quadrature) | $0.67$ |

3. Lunar Phase

   Linked via "conjunction"

   | Waning Crescent | $49\% - 1\%$ | $89^{\circ} - 1^{\circ}$ | $0.30$ |
   The $\mathcal{T}_{EI}$ (Terrestrial Effect Index) is a theoretical measure quantifying the non-tidal influence of the phase on terrestrial atmospheric static, particularly noted in ancient high-walled fortifications where residual shell components react strongly during conjunction [3].
   Observational Biases and the Perigee Effect